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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, Volume 33, Issue 3, Pages 523–533
DOI: https://doi.org/10.35634/vm230309 (Mi vuu865) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Integration of the negative order Korteweg–de Vries equation by the inverse scattering method

G. U. Urazboeva, I. I. Baltaevaa, O. B. Ismoilovb

a Urgench State University, ul. H. Alimdjan, 14, Urgench, 220100, Uzbekistan
b V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, Khorezm Branch, ul. H. Alimdjan, 14, Urgench, 220100, Uzbekistan
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DOI: https://doi.org/10.35634/vm230309
Abstract: In this paper, we consider the integration of the negative order Korteweg-de Vries equation by the inverse scattering method. The evolution of the spectral data of the Sturm-Liouville operator with a potential associated with the solution of the negative order Korteweg-de Vries equation is determined. The obtained results make it possible to apply the method of inverse scattering problem to solve the negative order Korteweg-de Vries equation in the class of rapidly decreasing functions.
Keywords: Sturm-Liouville operator, negative order Korteweg-de Vries equation, scattering data, inverse scattering problem.
Received: 19.05.2023
Accepted: 22.08.2023
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 34L25, 35C08, 35P25, 35Q51, 35Q53
Language: Russian
Citation: G. U. Urazboev, I. I. Baltaeva, O. B. Ismoilov, “Integration of the negative order Korteweg–de Vries equation by the inverse scattering method”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:3 (2023), 523–533
Citation in format AMSBIB
\Bibitem{UraBalIsm23}
\by G.~U.~Urazboev, I.~I.~Baltaeva, O.~B.~Ismoilov
\paper Integration of the negative order Korteweg--de~Vries equation by the inverse scattering method
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2023
\vol 33
\issue 3
\pages 523--533
\mathnet{http://mi.mathnet.ru/vuu865}
\crossref{https://doi.org/10.35634/vm230309}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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